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NOVEL INVESTIGATION OF FRACTIONAL LONG- AND SHORT-WAVE INTERACTION SYSTEM

School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China

https://doi.org/10.1142/S0218348X24500233Cited by:11 (Source: Crossref)

Abstract

In ocean engineering, the long- and short-wave interaction system represents a crucial nonlinear evolution equation that elucidates the resonant interaction phenomenon between ocean waves. In this study, we describe the fractional long and short-wave interaction (FLSWI) system employing the M-truncated derivative. Subsequently, we employ the extended fractional ${tanh}_{χ} - {coth}_{χ}$ and the fractional $csc h_{χ}$ methods to address the FLSWI system. These two approaches yields novel and intriguing soliton solutions. To further elucidate the derived soliton solutions, three-dimensional visualizations are constructed and analyzed.

Keywords:

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